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# M07-25

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Math Expert
Joined: 02 Sep 2009
Posts: 47018

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16 Sep 2014, 00:35
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Difficulty:

25% (medium)

Question Stats:

82% (01:30) correct 18% (01:06) wrong based on 39 sessions

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In March, 25 percent of a certain company's 80 customers were females, and in April, 40 percent of its 160 customers were males. What is the percent increase from March to April in the number of female customers of the company?

A. 38%
B. 68.75%
C. 79.17%
D. 220%
E. 380%

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Math Expert
Joined: 02 Sep 2009
Posts: 47018

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16 Sep 2014, 00:35
Official Solution:

In March, 25 percent of a certain company's 80 customers were females, and in April, 40 percent of its 160 customers were males. What is the percent increase from March to April in the number of female customers of the company?

A. 38%
B. 68.75%
C. 79.17%
D. 220%
E. 380%

In March, the company had $$0.25*80=20$$ female customers: $$0.25*80=20$$;

In April, the company had $$(1-0.4)*160=96$$ female customers;

General formula for percent increase or decrease, (percent change): $$\text{percent}=\frac{\text{Change}}{\text{Original}}*100$$, so $$\text{percent}=\frac{96-20}{20}*100=380%$$

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Joined: 27 Jul 2017
Posts: 52

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17 Mar 2018, 05:26
Female customers in the month of March, 0.25*80 = 20.

Female customers in the month of April, 60% of 160 customers = 0.6*160 = 96.

% increase = (increase/original)*100 = (96-20/20)*100 = (76/20)*100 = 380%.

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Ujjwal
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Re: M07-25   [#permalink] 17 Mar 2018, 05:26
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# M07-25

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